Testing shape restrictions of discrete distributions

CL Canonne, I Diakonikolas, T Gouleakis… - Theory of Computing …, 2018 - Springer
We study the question of testing structured properties (classes) of discrete distributions.
Specifically, given sample access to an arbitrary distribution D over n and a property PP, the …

Distribution testing lower bounds via reductions from communication complexity

E Blais, CL Canonne, T Gur - ACM Transactions on Computation Theory …, 2019 - dl.acm.org
We present a new methodology for proving distribution testing lower bounds, establishing a
connection between distribution testing and the simultaneous message passing (SMP) …

Testing properties of distributions in the streaming model

S Roy, Y Vasudev - arxiv preprint arxiv:2309.03245, 2023 - arxiv.org
We study distribution testing in the standard access model and the conditional access model
when the memory available to the testing algorithm is bounded. In both scenarios, the …

Lifting uniform learners via distributional decomposition

G Blanc, J Lange, A Malik, LY Tan - … of the 55th Annual ACM Symposium …, 2023 - dl.acm.org
We show how any PAC learning algorithm that works under the uniform distribution can be
transformed, in a blackbox fashion, into one that works under an arbitrary and unknown …

Exploring the gap between tolerant and non-tolerant distribution testing

S Chakraborty, E Fischer, A Ghosh… - Approximation …, 2022 - drops.dagstuhl.de
The framework of distribution testing is currently ubiquitous in the field of property testing. In
this model, the input is a probability distribution accessible via independently drawn …

Improving and extending the testing of distributions for shape-restricted properties

E Fisher, O Lachish, Y Vasudev - 2017 - eprints.bbk.ac.uk
Distribution testing deals with what information can be deduced about an unknown
distribution over $\{1,\ldots, n\} $, where the algorithm is only allowed to obtain a relatively …

Tolerant Testing and Distance Estimation for Distributions Under Memory Constraints

S Roy, Y Vasudev - International Conference on Current Trends in Theory …, 2025 - Springer
We investigate tolerant testing and distance estimation problems in distribution testing when
the amount of memory is limited. In particular, our aim is to provide a good estimate of the …

Exploring the Gap Between Tolerant and Non-Tolerant Distribution Testing

S Chakraborty, E Fischer, A Ghosh, G Mishra… - IEEE Transactions on …, 2025 - dl.acm.org
The framework of distribution testing is currently ubiquitous in the field of property testing. In
this model, the input is a probability distribution accessible via independently drawn …